Results 31 to 40 of about 167 (109)
Vertex-, edge-, and total-colorings of Sierpiński-like graphs
, 2009 Vertex-colorings, edge-colorings and total-colorings of the Sierpiński gasket graphs Sn, the Sierpiński graphs S(n,k), graphs S+(n,k), and graphs S++(n,k) are considered. In particular, χ″(Sn), χ′(S(n,k)), χ(S+(n,k)), χ(S++(n,k)), χ′(S+(n,k)), and χ′(S++(
Jakovac, Marko, Klavžar, Sandi
core +1 more source
Advanced Functional Materials, Volume 36, Issue 23, 19 March 2026.This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou +4 more
wiley +1 more source
Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
Degree sequence of the generalized Sierpiński graph
, 2020 Sierpiński graphs are studied in fractal theory and have applications in diverse areas including dynamic systems, chemistry, psychology, probability, and computer science.
Attarzadeh, Fatemeh +2 more
core +1 more source
New Sharp Extremal Bounds for the Randić Index of Trees With Prescribed Roman Domination Number
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.The Randić index is a classical degree‐based topological index that captures branching features of a graph and has broad applications in chemical graph theory and related network models. Roman domination is a defense‐inspired covering concept in which vertices are assigned protective labels so that every unprotected vertex is adjacent to a strongly ...
Waqar Ali +4 more
wiley +1 more source
Metaheuristic Optimization Algorithm for Vulnerability Detection in Web of Things Environment
Journal of Engineering, Volume 2026, Issue 1, 2026.The integration of the Web of Things with cloud computing platforms has significantly improved data sharing, analytics, and automation across smart environments. However, this interconnection also exposes devices and cloud infrastructures to severe security threats, including Trojans, ransomware, worms, and advanced malware.
Romil Rawat +2 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Topological indices are essential for encoding molecular information and have traditionally focused on the properties of individual atoms and their connections. In this work, we study and analyze the first and second entire Zagreb indices. We explore their predictive power through rigorous analysis of octane isomers and benzenoid hydrocarbons ...
Buthinah A. Bin Dehaish +3 more
wiley +1 more source
Coloring Hanoi and Sierpiński graphs
, 2012 It is shown that all Hanoi and Sierpiński graphs are in edge- and total coloring class 1, except those isomorphic to a complete graph of odd or even order, respectively.
Daniele Parisse +3 more
core +1 more source
Role of Intersections in Fracture Connectivity
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 12, December 2025.Abstract Networks of intersecting fractures often provide the flow paths through subsurface reservoirs. Assessing network connectivity is challenging because fracture intersections compose a vanishingly small fraction of the network void volume. In this paper, motivated by 3D X‐ray imaging of the simplest element of fracture network, that is, two ...
L. J. Pyrak‐Nolte, D. D. Nolte
wiley +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source